Education

Bio

I have always loved mathematics - at first for its own sake, and later for how it can help us understand real-world processes and relationships. I am interested in connections between mathematics and the sciences, especially biology. My current work uses mathematical modeling to illuminate the organisms, patterns, and behaviors that emerge from evolution.

What I Love About Emmanuel:

I love that Emmanuel is both intellectual and caring. We support each other as scholars and as people.

Courses I Teach

MATH1111 - Calculus I

MATH2103 - Calculus III

What I'm Working On

Publications + Presentations

A continuously updated and linked list of my publications can be found here.

Research Focus

I use mathematical modeling to help illuminate the organisms, patterns, and behaviors that emerge from evolution. I am interested in both theoretical and practical questions within this topic.

On the theoretical side, I am interested in how the spatial or social structure of a population affects its evolution. These structures can influence the processes of adaptation and neutral drift, as well as the kinds of social behaviors favored by natural selection. Using the theory of stochastic processes, I develop mathematically general approaches that can address these questions across different organisms.

On the more empirically motivated side, I use stochastic models to study the genetic evolution of cancer as tumors grow and develop within an organism. This question is particularly important in understanding how tumors develop resistance to targeted cancer therapies. I also use mathematical modeling to study evolution in E. coli and other microorganisms.